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We revisit the study of the phenomenology associated to a burst of particleproduction of a field whose mass is controlled by the inflaton field andvanishes at one given instance during inflation. This generates a bump in thecorrelators of the primordial scalar curvature. We provide a unified formalismto compute various effects that have been obtained in the literature andconfirm that the dominant effects are due to the rescattering of the producedparticles on the inflaton condensate. We improve over existing results (basedon numerical fits) by providing exact analytic expressions for the shape andheight of the bump, both in the power spectrum and the equilateral bispectrum.We then study the regime of validity of the perturbative computations of thissignature. Finally, we extend these computations to the case of a burst ofparticle production in a sector coupled only gravitationally to the inflaton.

Resonant particle production during inflation: a full analytical study